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Let alpha, beta are the two real roots o...

Let `alpha, beta` are the two real roots of equation `x ^(2) + px +q=0, p, q in R, q ne 0.` If the quadratic equation `g (x)=0` has two roots `alpha + (1)/(alpha), beta + (1)/(beta)` such that sum of roots is equal to product of roots, then the complete range of q is:

A

`[(1)/(3), 3]`

B

`((1)/(3), 3]`

C

`[(1()/(3), 3)`

D

`(-oo, (1)/(3))uu [3,oo)`

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The correct Answer is:
A
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VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  11. The number of all values of n, (whre pi is a whole number ) for which ...

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  14. The smallest value of k for which both roots of the equation x^(2)-8kx...

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  15. If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=

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  16. The sum of all real values of k for which the expression x ^(2)+2xy +k...

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  17. The curve y=(lambda=1)x^2+2 intersects the curve y=lambdax+3 in exactl...

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  18. Find the number of integral vaues of 'a' for which the range of functi...

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  19. When x ^(100) is divided by x ^(2) -3x +2, the remainder is (2 ^(k +1)...

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  20. Let p(x)=0 be a polynomial equation of the least possible degree, with...

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  21. The range of value's of k for which the equation 2 cos^(4) x - sin^(4...

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